Computational plasticity of mixed hardening pressure-dependency constitutive equations
type: Item
instance of: scholarly article
title: Computational plasticity of mixed hardening pressure-dependency constitutive equations
zbMATH Open document ID: 1302.74029
author: Mohammad Rezaiee-Pajand
author: Ferdinando Auricchio
author: Mehrzad Sharifian
author: Mehrdad Sharifian
published in: Acta Mechanica
publication date: 2014-06-20T00:00:00Z
review text: Until now, two fully explicit exponential-based integrations have been presented for the mixed hardening Drucker-Prager's constitutive equations, which are a widely used plasticity model to predict the elastic-plastic behavior of a broad range of geotechnical materials such as rock, soil, concrete as well as iron-based substances, including aluminum and porous metals. In the present paper, it is desired to improve the integration schemes by converting them into semi-implicit strategies. Two semi-implicit schemes, based on exponential maps method are derived for integrating the pressure sensitive constitutive equations. In addition, the consistent tangent operators, which are necessary for the implicit finite element codes, were derived for all the fully explicit and semi-implicit schemes. Further, the consistent tangent operator for an accurate integration was given. To evaluate the accuracy, the numerical investigations consisting of the strain load histories, iso-error maps and boundary value problems were taken into account. It was shown that the semi-implicit methods have second order accuracy compared to the first order precision of the fully explicit schemes. As a result of the boundary value problems has demonstrated that the efficiency of the finite element analysis, when the semi-implicit stress updating algorithms are used, is much higher than that of those which the filly explicit algorithms. The correctness of the derived constant tangent operators was also proven.
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6306008
zbMATH Keywords: computational plasticity
zbMATH Keywords: presure-dependency constitutive equations
MaRDI profile type: Publication
full work available at URL: s00707-013-0998-8
OpenAlex ID: W2024220133
cites work: Investigation of a new analytical method for numerical derivative evaluation
cites work: On the implementation of inelastic constitutive equations with special reference to large deformation problems
cites work: Consistent tangent operators for rate-independent elastoplasticity
cites work: Numerical techniques for plasticity computations in finite element analysis
cites work: Accuracy and stability of integration algorithms for elastoplastic constitutive relations
cites work: A return mapping algorithm for plane stress elastoplasticity
cites work: Integration of Tresca and Mohr-Coulomb constitutive relations in plane strain elastoplasticity
cites work: An evaluation of substepping and implicit stress point algorithms
cites work: Refined explicit integration of elastoplastic models with automatic error control
cites work: Accurate numerical solutions for Drucker-Prager elastic-plastic models
cites work: Exact integration of constitutive equations in elasto‐plasticity
cites work: Q3122355
cites work: Accurate stress updating algorithm based on constant strain rate assumption
cites work: An alternative method for the integration of continuum damage evolution laws
cites work: A semi-analytical integration method for \(J_2\) flow theory of plasticity with linear isotropic hardening
cites work: Exact integration of the von Mises elastoplasticity model with combined linear isotropic-kinematic hardening
cites work: A novel formulation for integrating nonlinear kinematic hardening Drucker-Prager's yield condition
cites work: On a new integration scheme for von-Mises plasticity with linear hardening
cites work: Internal symmetry in the constitutive model of perfect elastoplasticity
cites work: Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticity
cites work: Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methods
cites work: Integration schemes for von-Mises plasticity models based on exponential maps: numerical investigations and theoretical considerations
cites work: A novel ‘optimal’ exponential-based integration algorithm for von-Mises plasticity with linear hardening: Theoretical analysis on yield consistency, accuracy, convergence and numerical investigations
cites work: Second-order accurate integration algorithms for von-Mises plasticity with a nonlinear kinematic hardening mechanism
cites work: Accurate integration scheme for von‐Mises plasticity with mixed‐hardening based on exponential maps
cites work: On the integration schemes for Drucker–Prager's elastoplastic models based on exponential maps
cites work: Accurate and approximate integrations of Drucker-Prager plasticity with linear isotropic and kinematic hardening
cites work: An analysis of a new class of integration algorithms for elastoplastic constitutive relations
cites work: Accurate numerical integration of Drucker-Prager's constitutive equations
cites work: A return mapping algorithm for a class of cyclic plasticity models
cites work: Implementation of cyclic plasticity models based on a general form of kinematic hardening
cites work: Implicit integration and consistent tangent modulus of a time-dependent non-unified constitutive model
cites work: Finite element implementation of visco-plastic constitutive model with strain-range-dependent cyclic hardening
cites work: Efficient return algorithms for associated plasticity with multiple yield planes
cites work: Reuleaux plasticity: analytical backward Euler stress integration and consistent tangent
cites work: Soil mechanics and plastic analysis or limit design
cites work: Q5185900
cites work: A family of embedded Runge-Kutta formulae
DOI: 10.1007/S00707-013-0998-8
description: scientific article; zbMATH DE number 6306008